6054339456 has 384 divisors, whose sum is σ = 19995655680. Its totient is φ = 1741824000.

The previous prime is 6054339449. The next prime is 6054339479. The reversal of 6054339456 is 6549334506.

6054339456 is a `hidden beast` number, since 60 + 543 + 3 + 9 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22340601 + ... + 22340871.

It is an arithmetic number, because the mean of its divisors is an integer number (52072020).

Almost surely, 2^6054339456 is an apocalyptic number.

6054339456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6054339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997827840).

6054339456 is an abundant number, since it is smaller than the sum of its proper divisors (13941316224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6054339456 is a wasteful number, since it uses less digits than its factorization.

6054339456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 6054339456 is about 77809.6360099442. The cubic root of 6054339456 is about 1822.5897455622.

It can be divided in two parts, 60543 and 39456, that added together give a palindrome (99999).

The spelling of 6054339456 in words is "six billion, fifty-four million, three hundred thirty-nine thousand, four hundred fifty-six".